This paper focussed on Testing of Hypothesis by using Generalized Inverse of Matrix . In the recent paper (1), On the generalized inverse of a matrix, the generalized inverse matrix wasapplied to solution of systems of equations that are linearly dependent and unbalanced. This paper is an extensive study of (1). It manages Testing of Hypothesis by using Generalized Inverse of Matrices.

Keywords : Generalized Inverse of a matrix, ANOVA, linear models, least square, , Variance, Fullrank partitioning.